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Finding the Third Proportional to 129,546 and 282,708

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Solution

The third proportional to 129,546 and 282,708 is: 616,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,546 : 282,708 = 282,708 : x
  2. Step 2: Convert to fraction form
    129,546/282,708 = 282,708/x
  3. Step 3: Cross multiply
    129,546x = 282,708 × 282,708
  4. Step 4: Simplify right side
    129,546x = 79,923,813,264
  5. Step 5: Solve for x
    x = 79,923,813,264/129,546
  6. Step 6: Final answer
    x = 616,953.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.